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In a Wheatstone bridge, if the bridge is balanced, what can be said about the ra

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Question: In a Wheatstone bridge, if the bridge is balanced, what can be said about the ratio of the resistances?

Options:

  1. R1/R2 = R3/R4
  2. R1 + R2 = R3 + R4
  3. R1 - R2 = R3 - R4
  4. R1 * R2 = R3 * R4

Correct Answer: R1/R2 = R3/R4

Solution:

In a balanced Wheatstone bridge, the ratio of the resistances in one branch is equal to the ratio in the other branch, hence R1/R2 = R3/R4.

In a Wheatstone bridge, if the bridge is balanced, what can be said about the ra

Practice Questions

Q1
In a Wheatstone bridge, if the bridge is balanced, what can be said about the ratio of the resistances?
  1. R1/R2 = R3/R4
  2. R1 + R2 = R3 + R4
  3. R1 - R2 = R3 - R4
  4. R1 * R2 = R3 * R4

Questions & Step-by-Step Solutions

In a Wheatstone bridge, if the bridge is balanced, what can be said about the ratio of the resistances?
Correct Answer: R1/R2 = R3/R4
  • Step 1: Understand that a Wheatstone bridge has four resistors arranged in a diamond shape.
  • Step 2: Identify the resistors as R1, R2, R3, and R4.
  • Step 3: Know that the bridge is balanced when there is no current flowing through the middle part of the bridge.
  • Step 4: When the bridge is balanced, the voltage across the middle part is zero.
  • Step 5: This condition leads to the relationship between the resistors: the ratio of R1 to R2 is equal to the ratio of R3 to R4.
  • Step 6: Write this relationship as R1/R2 = R3/R4.
  • Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
  • Balanced Condition – A state in which the voltage across the bridge is zero, indicating that the ratios of resistances are equal.
  • Resistance Ratio – The relationship between the resistances in the two branches of the bridge, expressed as R1/R2 = R3/R4.
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